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http://hdl.handle.net/10077/11219| Title: | A Note on plane rational curves and the associated Poncelet Surfaces | Authors: | Bernardi, Alessandra Gimigliano, Alessandro Idà, Monica |
Keywords: | plane rational curves, Poncelet surfaces, singularities. | Issue Date: | 2015 | Publisher: | EUT Edizioni Università di Trieste | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 47 (2015) |
Abstract: | We consider the parametrization (f0, f1, f2) of plane rational curve c, and we want to relate the splitting type of C (i.e. the second Betti numbers of the ideal (f0, f1, f2) with the singularities of the associated Poncelet surface in p3. We are able of doing this for Ascenzi curves, thus generalizing a result in [8] in the case of plane curves. Moreover we prove that if the Poncelet surface s C p3 is singular then it is associated with a curve C which possesses at least a point of multiplicity >_ 3. |
URI: | http://hdl.handle.net/10077/11219 | ISSN: | 0049-4704 | eISSN: | 2464-8728 | DOI: | 10.13137/0049-4704/11219 |
| Appears in Collections: | Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.47 (2015) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| RIMUT_47_06_bernardi_gimigliano_ida.pdf | Full text article | 257.45 kB | Adobe PDF |  View/Open |
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